{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 应用聚类模型\n",
    "\n",
    "在本实验中，您将应用K-means和凝聚来聚类以寻找汽车数据集中的结构。 在这样一个复杂的数据集中寻找有意义的集群将具有挑战性。 挑战是双重的。 首先，必须确定最佳簇数，然后必须以某种有用的方式解释聚类。 这些挑战是无监督学习的典型挑战。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 准备数据集\n",
    "\n",
    "在开始构建和评估群集模型之前，必须准备数据集。 首先，执行下面单元格中的代码以加载运行其余部分所需的包。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import numpy.random as nr\n",
    "from sklearn.cluster import KMeans, AgglomerativeClustering\n",
    "from sklearn.metrics import silhouette_score\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面单元格中的代码加载了一个准备好的autos数据集版本，该版本具有以下预处理：\n",
    "1. 清除缺失值。\n",
    "2. 汇总某些分类变量的类别。\n",
    "3. 将分类变量编码为二进制虚拟变量。\n",
    "4. 标准化数值变量。\n",
    "\n",
    "但是，对于这种情况，需要一些额外的处理：\n",
    "1. 采用Label向量的日志。您从之前的分析中了解到，标签（价格）值的日志更接近于与几个数字特征线性相关。此外，Label的日志更接近Normally distributed。\n",
    "2. 标签值为Zscore标准化，以确保方差为1.0，平均值为0.0。与所有机器学习一样，缩放在群集分析中至关重要，以避免解决方案中出现偏差。\n",
    "3. 将缩放的对数变换后的Label值向量附加到要素上以创建完整的数据集。\n",
    "\n",
    "执行下面单元格中的代码以创建数据集所需的处理：\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(195, 46)\n"
     ]
    }
   ],
   "source": [
    "Features = np.array(pd.read_csv('Auto_Data_Features.csv'))\n",
    "Labels = np.array(pd.read_csv('Auto_Data_Labels.csv'))\n",
    "Labels = np.log(Labels)\n",
    "scaler = StandardScaler()\n",
    "Labels = scaler.fit_transform(Labels)\n",
    "Auto_Data = np.concatenate((Features,Labels), 1)\n",
    "print(Auto_Data.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "请注意，对于少数情况，数据集有46列（维度）195行，与特征数量相比较少的行增加了此问题的挑战。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['symboling', 'normalized_losses', 'make', 'fuel_type', 'aspiration',\n",
      "       'num_of_doors', 'body_style', 'drive_wheels', 'engine_location',\n",
      "       'wheel_base', 'length', 'width', 'height', 'curb_weight', 'engine_type',\n",
      "       'num_of_cylinders', 'engine_size', 'fuel_system', 'bore', 'stroke',\n",
      "       'compression_ratio', 'horsepower', 'peak_rpm', 'city_mpg',\n",
      "       'highway_mpg', 'price'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "auto_prices = pd.read_csv('Automobile price data _Raw_.csv')\n",
    "\n",
    "def clean_auto_data(auto_prices):\n",
    "    'Function to load the auto price data set from a .csv file' \n",
    "    import pandas as pd\n",
    "    import numpy as np\n",
    "    \n",
    "    ## Remove rows with missing values, accounting for mising values coded as '?'\n",
    "    cols = ['price', 'bore', 'stroke', \n",
    "          'horsepower', 'peak-rpm']\n",
    "    for column in cols:\n",
    "        auto_prices.loc[auto_prices[column] == '?', column] = np.nan\n",
    "    auto_prices.dropna(axis = 0, inplace = True)\n",
    "\n",
    "    ## Convert some columns to numeric values\n",
    "    for column in cols:\n",
    "        auto_prices[column] = pd.to_numeric(auto_prices[column])\n",
    "    \n",
    "    ## fix column names so the '-' character becomes '_'\n",
    "    cols = auto_prices.columns\n",
    "    auto_prices.columns = [str.replace('-', '_') for str in cols]\n",
    "        \n",
    "    return auto_prices\n",
    "auto_prices = clean_auto_data(auto_prices)\n",
    "\n",
    "print(auto_prices.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "价格列应进行对数转换。 执行下面单元格中的代码："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "auto_prices['price'] = np.log(auto_prices['price'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "最后一点需要准备，通过以下代码创建分配可视化的标记形状列表。 使用的键是燃料类型和排气的元组， 执行下面单元格中的代码以创建此列表。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "marker_dic = {('gas','std'):'o', ('gas','turbo'):'s', ('diesel','std'):'x', ('diesel','turbo'):'^'}\n",
    "markers = [marker_dic[(x,y)] for x,y in zip(auto_prices['fuel_type'], auto_prices['aspiration'])]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 应用K-means聚类\n",
    "\n",
    "准备好数据后，您将创建并评估应用于汽车数据集的一系列K-means聚类模型。\n",
    "\n",
    "下面单元格中的代码执行以下处理：\n",
    "1. 定义字典用于将聚类分配编号映射到分配可视化的颜色。\n",
    "2. 定义了K = 2 K均值的聚类模型。\n",
    "3. 数据适合群集模型并计算分配。\n",
    "4. 分配映射到颜色列表。\n",
    "\n",
    "执行此代码。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "nr.seed(2233)\n",
    "col_dic = {0:'blue',1:'green',2:'orange',3:'gray',4:'magenta',5:'black'}\n",
    "kmeans_2 = KMeans(n_clusters=2, random_state=0)\n",
    "assignments_km2 = kmeans_2.fit_predict(Auto_Data)\n",
    "assign_color_km2 = [col_dic[x] for x in assignments_km2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来，下面单元格中的代码绘制了聚类分配的四个视图。 对于高维数据，许多视图都是可能的。 但是，考虑到感知的限制，通常最好选择一些有意义的视角。 在这种情况下，显示5个数字列和2个分类变量，共45个可能的维度中的7个。\n",
    "\n",
    "下面单元格中的函数执行以下处理：\n",
    "1. 显示数字列的列表。\n",
    "2. 外循环迭代列，4个绘图轴的索引。\n",
    "3. 内循环迭代x和y坐标，颜色和标记形状， 这些点被绘制在该循环内\n",
    "4. 添加了绘图的注释。\n",
    "\n",
    "执行此代码以显示K = 2模型的聚类。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_auto_cluster(auto_prices, assign_color, markers):\n",
    "    fig, ax = plt.subplots(2, 2, figsize=(12,11)) # define plot area         \n",
    "    x_cols = ['city_mpg', 'curb_weight', 'curb_weight', 'horsepower']\n",
    "    y_cols = ['price', 'price', 'city_mpg', 'price']\n",
    "    for x_col,y_col,i,j in zip(x_cols,y_cols,[0,0,1,1],[0,1,0,1]):\n",
    "        for x,y,c,m in zip(auto_prices[x_col], auto_prices[y_col], assign_color, markers):\n",
    "            ax[i,j].scatter(x,y, color = c, marker = m)\n",
    "        ax[i,j].set_title('Scatter plot of ' + y_col + ' vs. ' + x_col) # Give the plot a main title\n",
    "        ax[i,j].set_xlabel(x_col) # Set text for the x axis\n",
    "        ax[i,j].set_ylabel(y_col)# Set text for y axis\n",
    "    plt.show()\n",
    "\n",
    "plot_auto_cluster(auto_prices, assign_color_km2, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "K = 2聚类模型将数据分为高价格，低燃油效率，高重量和高马力的汽车以及具有相反特征的汽车。 \n",
    "\n",
    "接下来，执行下面单元格中的代码，计算并显示K = 3模型的集群分配。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(4455)\n",
    "kmeans_3 = KMeans(n_clusters=3, random_state=0)\n",
    "assignments_km3 = kmeans_3.fit_predict(Auto_Data)\n",
    "assign_color_km3 = [col_dic[x] for x in assignments_km3]\n",
    "plot_auto_cluster(auto_prices, assign_color_km3, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "聚类数据集的基本划分类似于K = 2模型的情况。 然而，这些聚类的重叠明显多于K = 2的情况。 标准的抽吸汽车都在蓝色显示的集群中。 除此之外，还不确定是否已经学习了关于该数据集结构的新信息。\n",
    "\n",
    "执行下面单元格中的代码以计算和显示K = 4模型的集群分配。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(223)\n",
    "kmeans_4 = KMeans(n_clusters=4, random_state=0)\n",
    "assignments_km4 = kmeans_4.fit_predict(Auto_Data)\n",
    "assign_color_km4 = [col_dic[x] for x in assignments_km4]\n",
    "plot_auto_cluster(auto_prices, assign_color_km4, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "与k = 4模型相比，似乎重叠较少。 此外，一些额外的有趣结构开始出现。 这些聚类的主要指标是按价格，重量，燃油效率和马力。 所有柴油汽车分为两组，一组有成本高的重量和马力为蓝色，另一组有成本较低的重量和马力为橙色。\n",
    "\n",
    "执行下面单元格中的代码以计算和显示K = 5模型的集群分配。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(4443)\n",
    "kmeans_5 = KMeans(n_clusters=5, random_state=0)\n",
    "assignments_km5 = kmeans_5.fit_predict(Auto_Data)\n",
    "assign_color_km5 = [col_dic[x] for x in assignments_km5]\n",
    "plot_auto_cluster(auto_prices, assign_color_km5, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些集群的结构相当复杂， 一般模式类似于K = 4模型，但在聚类之间具有更细粒度的划分。\n",
    "\n",
    "最后，执行下面单元格中的代码，计算并显示K = 6模型的聚类。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(2288)\n",
    "kmeans_6 = KMeans(n_clusters=6, random_state=0)\n",
    "assignments_km6 = kmeans_6.fit_predict(Auto_Data)\n",
    "assign_color_km6 = [col_dic[x] for x in assignments_km6]\n",
    "plot_auto_cluster(auto_prices, assign_color_km6, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些簇的结构遵循K = 4和K = 5模型的一般模式，不同之处在于聚类之间存在更细粒度的划分。\n",
    "\n",
    "虽然这些可视化很有趣，但很难根据这些证据选择最佳模型。 为了建立模型选择的定量基础，您现在将计算和比较聚类内的平方和（WCSS），聚类平方和（BCSS）和轮廓系数（SC）度量。 执行下面单元格中的代码并检查结果。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "km_models = [kmeans_2, kmeans_3, kmeans_4, kmeans_5, kmeans_6]\n",
    "\n",
    "def plot_WCSS_km(km_models, samples):\n",
    "    fig, ax = plt.subplots(1, 2, figsize=(12,5))\n",
    "    \n",
    "    ## Plot WCSS\n",
    "    wcss = [mod.inertia_ for mod in km_models]\n",
    "    n_clusts = range(2,len(wcss) + 2)\n",
    "    ax[0].bar(n_clusts, wcss)\n",
    "    ax[0].set_xlabel('Number of clusters')\n",
    "    ax[0].set_ylabel('WCSS')\n",
    "    \n",
    "    ## Plot BCSS\n",
    "    ## Compute BCSS as TSS - WCSS \n",
    "    n_1 = (float(samples.shape[0]) * float(samples.shape[1])) - 1.0\n",
    "    tss = n_1 * np.var(samples)\n",
    "    bcss = [tss - x for x in wcss]\n",
    "    ax[1].bar(n_clusts, bcss)\n",
    "    ax[1].set_xlabel('Number of clusters')\n",
    "    ax[1].set_ylabel('BCSS')\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "plot_WCSS_km(km_models, Auto_Data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "WCSS首先迅速减少簇数。 BCSS随着簇数的增加而增加，这些结果表明，更多数量的聚类创建了更好地分离聚类的模型。\n",
    "\n",
    "现在，执行下面单元格中的代码，计算并显示每个聚类模型的SC。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_list = [assignments_km2, assignments_km3, assignments_km4, assignments_km5, assignments_km6]\n",
    "\n",
    "def plot_sillohette(samples, assignments, x_lab = 'Number of clusters'):\n",
    "    silhouette = [silhouette_score(samples, a) for a in assignments]\n",
    "    n_clusts = range(2, len(silhouette) + 2)\n",
    "    plt.bar(n_clusts, silhouette)\n",
    "    plt.xlabel(x_lab)\n",
    "    plt.ylabel('SC')\n",
    "    plt.show()\n",
    "\n",
    "plot_sillohette(Auto_Data, assignment_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "SC在K = 6模型中最高，但仅略高于K = 5。 K = 5和K = 6模型具有显着高于K = 2,3或4的SC。然而，所有这些SC值都相当低。\n",
    "\n",
    "总的来说，就这些指标而言，k = 6模型似乎是最好的。 似乎K = 5模型也有所改善\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 应用凝聚聚类\n",
    "\n",
    "尝试了具有不同数量聚类的K-means聚类模式后，您将尝试凝聚聚类模型。 您将使用可视化和SC指标比较这些模型。\n",
    "\n",
    "下面单元格中的代码计算2聚类凝聚模型并显示聚类分布。 执行此代码：\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(2233)\n",
    "agc_2 = AgglomerativeClustering(n_clusters=2)\n",
    "assignments_ag2 = agc_2.fit_predict(Auto_Data)\n",
    "assign_color_ag2 = [col_dic[x] for x in assignments_ag2]\n",
    "plot_auto_cluster(auto_prices, assign_color_ag2, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "检查上面的图并将它们与K = 2，K-means模型的簇分配进行比较。尽管K-means模型创建了数据集的近似均匀分割，但凝聚聚类模型将大多数点放在一个聚类中。 这些凝聚聚类模型的任务观点存在相当大的重叠。\n",
    "\n",
    "接下来，执行下面单元格中的代码以计算和显示3簇凝聚模型的分布：\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(4433)\n",
    "agc_3 = AgglomerativeClustering(n_clusters=3)\n",
    "assignments_ag3 = agc_3.fit_predict(Auto_Data)\n",
    "assign_color_ag3 = [col_dic[x] for x in assignments_ag3]\n",
    "plot_auto_cluster(auto_prices, assign_color_ag3, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "检查这些图并将它们与2簇模型进行比较。看起来3簇模型已经拆分了较大的集合，但在这些集合中仍存在相当大的重叠。\n",
    "\n",
    "执行下面单元格中的代码以计算和显示4簇凝聚模型的集群分配：\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(2663)\n",
    "agc_4 = AgglomerativeClustering(n_clusters=4)\n",
    "assignments_ag4 = agc_4.fit_predict(Auto_Data)\n",
    "assign_color_ag4 = [col_dic[x] for x in assignments_ag4]\n",
    "plot_auto_cluster(auto_prices, assign_color_ag4, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将这些簇分配与3簇模型进行比较。 请注意，低重量，低马力和低成本的汽车已分为两组。 此外，所有柴油车都分为两组。\n",
    "\n",
    "执行下面单元格中的代码以计算和显示5集群模型的集群分配："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(6233)\n",
    "agc_5 = AgglomerativeClustering(n_clusters=5)\n",
    "assignments_ag5 = agc_5.fit_predict(Auto_Data)\n",
    "assign_color_ag5 = [col_dic[x] for x in assignments_ag5]\n",
    "plot_auto_cluster(auto_prices, assign_color_ag5, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些结果很复杂，难以解释，现在数据处于多个集群中，并且具有相当大的重叠，然而，例如，一些模式是可见的，其中不同的燃料 - 排气组合被分成不同的簇。\n",
    "\n",
    "最后，执行下面单元格中的代码，计算并显示6簇凝聚模型的分配。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x792 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(2288)\n",
    "agc_6 = AgglomerativeClustering(n_clusters=6)\n",
    "assignments_ag6 = agc_6.fit_predict(Auto_Data)\n",
    "assign_color_ag6 = [col_dic[x] for x in assignments_ag6]\n",
    "plot_auto_cluster(auto_prices, assign_color_ag6, markers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些结果对于群集凝聚模型而言似乎更简单，一些簇明显分开，但在其他情况下存在相当大的重叠。\n",
    "\n",
    "最后，执行下面单元格中的代码，计算并显示凝聚聚类模型的SC。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_list = [assignments_ag2, assignments_ag3, assignments_ag4, assignments_ag5, assignments_ag6]\n",
    "plot_sillohette(Auto_Data, assignment_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5簇凝聚模型具有最大的SC，此模型的SC略高于6簇模型。 看来5簇模型是首选。 这些型号都没有特别高的SC。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 总结\n",
    "\n",
    "在本实验中，您已经计算，评估和比较了K-means和凝聚聚类模型以及应用于汽车数据集的2,3,4,5和6个聚类。无监督学习已经证明难以对模型进行确切比较，同样确定聚类过程发现的数据结构也成为最有趣和具有挑战性的。\n",
    "\n",
    "具体来说，您的分析发现：\n",
    "1. K = 6模型似乎是所尝试的K-means聚类模型中最好的。在该分析中揭示了一些有趣的结构，但总体而言BCSS和SC的减少相对较低。\n",
    "2. 这5个集群凝聚模型似乎是最好的尝试，与K-means模型一样，揭示了一些有趣的结构，但SC值相对较低。\n",
    "\n",
    "汽车数据的聚类分析可以通过多种方式进行扩展，包括：\n",
    "1. 使用更多数量的聚类来确定更精细的分组是否显示结构。\n",
    "2. 对于凝聚聚类模型，尝试其他链接函数和距离度量。\n"
   ]
  }
 ],
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   "language": "python",
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